On a Functional Equation Related to Two-Sided Centralizers
The main aim of this manuscript is to prove the following result. Let n > 2 be a fixed integer and R be a k-torsion free semiprime ring with identity, where k ∈ {2, n - 1, n}. Let us assume that for the additive mapping T : R→ R 3T(xn) = T(x)xn-1+ xT(xn-2)x + xn-1T(x), x ∈R, is also fulfilled. Th...
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| Format: | Article |
| Language: | English |
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Sciendo
2018-09-01
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| Series: | Annales Mathematicae Silesianae |
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| Online Access: | http://www.degruyter.com/view/j/amsil.2018.32.issue-1/amsil-2017-0014/amsil-2017-0014.xml?format=INT |